A wading pool is 2 m long and 5 m wide. If it holds 30 cubic meters of water, how deep is this wading pool?
Answer:
It would have to be 3 m deep
Step-by-step explanation:
2x5xy=30
2x5x3=30
3
Find the volume of the solid. Round answer to the nearest tenths.
4 yd
2 yd
apothem (rounded to nearest tenths) =
Area of the Base (rounded to nearest tenths) =
The volume of the solid =
ya
Answer:
Volume of pentagon = 27.52 yd² (Approx.)
Step-by-step explanation:
Given:
Length of base of pentagon = 2 yd
Height of pentagon = 4 yd
Find:
Volume of given figure
Computation:
Volume of given figure = Volume of pentagon
Volume of pentagon = (1/4)(a²)(h)√5(5+2√5)
Volume of pentagon = (1/4)(2²)(4)√5(5+2√5)
Volume of pentagon = (4)√5(5+2√5)
Volume of pentagon = (4)√5[5+2(2.236)]
Volume of pentagon = (4)√5[5+4.472]
Volume of pentagon = (4)√5[9.472]
Volume of pentagon = (4)√47.36
Volume of pentagon = 4[6.8818]
Volume of pentagon = 27.52 yd² (Approx.)
The graph of F(x) below resembles the graph of G(x) = x?, but it has been
changed somewhat. Which of the following could be the equation of F(x)?
Fix) =>
Gix) = x2
A. F(x) - x-2
B. F{X) = 4x2+2
C. Fx) = - - 2
D. FN-4222
Answer:
B. f(x) = 4x² + 2
Step-by-step explanation:
f(x) = 4 (x - 0)² + 2
vertex: (0 , 2) with vertical stretch
What is the value of the expression below? 6 - 11
Answer:
[tex]{\boxed{\boxed{\tt { ᶛɲƧཡэʀ :-}}}} \ [/tex]
[tex]6 - 11 \\ = - 5[/tex]
Answer:
-5 is your answer
have a nice day
A random sample of 10 employees of a company was selected to estimate the mean one-way commute time for all employees at the company. The mean and standard deviation of the sample were 38 minutes and 6 minutes, respectively. Assuming all conditions for inference are met.
Required:
What is the margin of error, in minutes, for a 95 percent confidence interval for the population mean one-way commute time?
Answer:
The margin of error is of 4.22 minutes.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2622
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
We have that [tex]s = 6, n = 10[/tex]. So
[tex]M = T\frac{s}{\sqrt{n}} = 2.2622\frac{6}{\sqrt{10}} = 4.22[/tex]
The margin of error is of 4.22 minutes.
what is 0.598 to the nearest whole number.
The answer is 1.
Answer: 1.
Answer:
1 I'm pretty sure
Step-by-step explanation:
59 is bigger than 50 so Im guessing it would go up to 1
I hope this helps :3
If you go to sleep at 8:25 p.m. and wake up at 6:15 a.m. for how long did
you sleep?
Show me step by step how you get the surface area of a circular pool that is 12foot in diameter
Answer:
Step-by-step explanation:
radius=diameter/2
=12/2
=6 ft
area of a circular pool=πr^2
=3.14*(6)^2
=3.14*36
=113.04 ft^2
Estimate the difference by rounding each number to the nearest hundredth 0.069-0.044
Answer:
0.1 and 0 thats the answer
Simplify:
-43-(27)
A:70
B:16
C:-16
D:-70
Answer:
The answer will be D
which statement is not true about the data shown?
66,89,90,55,92,82
The range is 37.
there is no mode.
the median is 82.
the mean is 79.
Answer:
believe it is "the median is 82."
Step-by-step explanation:
55,66,82,89,90,92
there are 6 numbers so in order to find the median here you would have to add 82 and 89 together and then divide by 2.
82+89=171
171/2=85.5
hence "the median is 82." is the right answer
Let H(x) = 5 x 2 - 10 x. Find x such that (x, - 5 ) is on the graph of H(x).
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The equation in vertex form is ...
H(x) = 5(x^2 -2x) = 5(x^2 -2x +1) -5
H(x) = 5(x -1)^2 -5
The only value of x that will make H(x) = -5, is x=1.
What is the common difference of the arithmetic sequence graphed below?
GO
an
1.
-11
1
2
3
4
5
6
7
8
9
n
-2
-3
4
5
-6
• (1.-3.75)
• (2, -4.5)
(3, -5.25)
• (4, -6)
(5.-6.75)
(6.-7.5)
• (7.-8.25)
• (8, -9)
-7
-8
-9
-10
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Answer:
-0.75
Step-by-step explanation:
If the difference is common, it is the difference of any pair of adjacent y-values (for sequential x-values).
-4.5 -(-3.75) = -0.75 . . . . . difference between the first two y-values
The common difference is -0.75.
Use the graph of y=f(x) in the figure to estimate:
f(0)≈
f(1)≈
f(b)≈
f(c)≈
f(d)≈
9514 1404 393
Answer:
f(0) ≈ 22f(1) = 10f(b) ≈ -8f(c) = 0f(d) 24Step-by-step explanation:
This takes graph-reading one step further. You get to estimate the y-value without benefit of minor grid lines. You must mentally divide the 10-unit distance between grid lines into equal spaces. Then estimate how many of those spaces lie between the point and the nearest grid line.
You can do this more precisely by drawing a diagonal line across the grid from one major grid intersection to one that is (5, 1) or (5, -1) major grid points away. Where that line crosses the intermediate grid lines, the vertical measure will be some multiple of 1/5 of the vertical difference between grid points. For example, a line from (0,20) to (5,30) will cross at (1,22), (2,24), (3,26), and (4,28). You can use these reference points to identify the y-values at f(0) and f(d).
Here's our eyeball estimate:
f(0) ≈ 22f(1) = 10f(b) ≈ -8f(c) = 0f(d) 24
(10^7)^2 as a single exponent
Give the diameter of 8 in, find the arc length of each sector
A. 2.09 in
B. 1.05 in
C. 4.19 in
D. 1.33 in
Answer:
is A.
sorry if is wrong:)
What is the surface area of the
rectangular prism below?
To Find Surface Area:
So Surface area is found according to this equation SA=2lw+2lh+2hw
6and 1/2 times 2 is 13 that would be the 2 sides
then you do 3 times 6 1/2 which is 19 1/2, which is the top and bottom
finally you do 3 times 9 1/5 which is 27 3/5.
Now since 1/2 and 1/5 are not the same, we find the LCM or Least Common Multiple, which is 10 so 1/2 is multiplied by 5 which is 5/10 and 3/5 is multiplied by 2 which makes 6/10.
Adding 5/10 and 6/10 is 11/10 or 1 1/10
13+6+9=28
28+1 1/10 = 29 1/10
and finally because we did surface area it is 29 1/10 CM^2
__________________________________________________________
To Find Volume:
The Equation used to find volume is l*w*h
The Length is 6 1/2
Height is 9 1/5
width is 3
First, lets again convert the fractions
5/10 and 6/10
6 5/10 times 9 6/10 is 62.4
62.4 times 3 is 187.2
The .2 and be put into 2/10 or 1/5 so the FINAL answer is 187 1/5
Another way to check this is
6*9*3=162
1/5*1/2
Hope this helped :)
~Ukiahsmith1
Answer:
So Surface area is found according to this equation SA=2lw+2lh+2hwStep-by-step explanation:
Solve for x x= [ ]* pls help
SHOW YOUR WORK
2 1/2 times ? = 5/8
Answer:
1/4
Step-by-step explanation:
Well 2 1/2 is the same thing as 5/2
so we do
5/2 * x(unknown number) = 5/8
2 * 5/2 = 5 * 2/8
5x = 5/4
x = 1/4
Find the volume. No links please
Answer:
72 centimeters
Step-by-step explanation:
V=bh or l*w*h
V=6*3*4 = 72 cm
A new factory in a small town has an annual payroll of $ million. It is expected that of this money will be spent in the town by factory personnel. The people in this town who receive this money are expected to spend of what they receive in the town, and so on. What is the total of all this spending, called the total economic impact of the factory, on the town each year? Use the formula for the sum of an infinite geometric series.
Answer:
I would say a millions dollars!
Step-by-step explanation:
Find the equation of the circle in standard form:
Answer:
(x + 5)^2 + (y + 1)^2 = 2^2
Step-by-step explanation:
I see that the instructions here call for "completing the square."
We need to rewrite x^2 + y^2 + 10x + 2y + 22 = 0 in the standard equation-of-a-circle formula (x - h)^2 + (y - k)^2 = r^2.
Start with x^2 + y^2 + 10x + 2y + 22 = 0, Group x terms together, then y terms:
x^2 + 10x + y^2 + 2y = -22
Going through the steps of completing the square, we insert additional constants:
x^2 + 10x + 25 - 25 + y^2 + 2y + 1 - 1 = -22, or
x^2 + 10x + 25 + y^2 + 2y + 1 = + 25 + 1 - 22 = 4
Rewrite x^2 + 10x + 25 as (x + 5)^2, and y^2 + 2y + 1 as (y + 1)^2
after which the original equation becomes (x + 5)^2 + (y + 1)^2 = 2^2
Which angles are pairs of corresponding angles? Check all that apply.
1/2
4 3
516
87
9 110
12111
13/14
16/15
1 and
3
Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.
hope it helps!!
From the options given, the angles that are pairs of corresponding angles given in the image are:
∠2 and ∠14 ∠3 and ∠7 What are Corresponding Angles?Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.
Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:
∠2 and ∠14 ∠3 and ∠7
Learn more about corresponding angles on:
https://brainly.com/question/2009183
which inequality represents all possible solutions of -4n < 16
n < -64
n < -4
n > -64
n > -4
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Answer:
(d) n > -4
Step-by-step explanation:
Divide by the coefficient of n. Because that is division by a negative number, reverse the inequality symbol.
n > (16/-4)
n > -4
Find the volume of the solid figure shown below. The area of the base is 40 square inches, and the height of the figure is 7 inches. 280 in. 3 68 in. 3 47 in. 3 108 in. 3
Answer:
280in
Step-by-step explanation:
Answer:
280 in. ^3
Step-by-step explanation:
40 x 7
I will give you Brainiest if you are right.
Answer:
C. 3x + 6
Step-by-step explanation:
x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + (-1) + (-1) =
= 3x + 6
Answer: C. 3x + 6
A group of teachers decided that they would each bring a similar jar of candies to their classrooms so their
students could practice estimation. The students were told that whoever had the closest guess in the class
would win the candy, and so they all guessed how many candies were in their classroom's jar. The
distribution of individual guesses was strongly skewed to the right with a mean of 115 candies and a
standard deviation of 35 candies.
Suppose we took random samples of 6 students and calculated T as the sample mean of their guesses. We
can assume that the students in each sample are independent.
What will be the shape of the sampling distribution of ?
Oop
Answer:skewed to the right
Step-by-step explanation:khan academy
The dot plot below shows the ages of students at a summer soccer camp. Each X represents one student.
Answer:B
Step-by-step explanation:
Answer:
1, 2, and 4
Step-by-step explanation:
12) 3 + x + 2x
A) 3 + 3x C) 3 + 7x
B) -17x D) 3 + 17x
A) 3 + 3x is the answer.
.. ..
Answer:
it's A
have a great day ......
Who is Pemdas Orelse?
Answer:
Pemdas is a lesson in Mathematics.Step-by-step explanation:
What is the meaning of Pemdas?
The operations is rule that tells the correct sequence of steps by step for explanation's math expression.Meaning of each letter in Pemdas?
Pemdas means each letter are Parenthesis, Exponent, Multiplication, Division, Subtraction, and Addition.(ʋ◕ᴥ◕ʋ)